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Finding the Fourth Proportional to 7,440.84, 10,264.44 and 4,455.78

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Solution

The fourth proportional to 7,440.84, 10,264.44 and 4,455.78 is: 6,146.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,440.84 : 10,264.44 = 4,455.78 : x
  2. Step 2: Convert to fraction form
    7,440.84/10,264.44 = 4,455.78/x
  3. Step 3: Cross multiply
    7,440.84x = 10,264.44 × 4,455.78
  4. Step 4: Simplify right side
    7,440.84x = 45,736,086.46
  5. Step 5: Solve for x
    x = 45,736,086.46/7,440.84
  6. Step 6: Final answer
    x = 6,146.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.